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Andrew [12]
3 years ago
11

12

Mathematics
1 answer:
hoa [83]3 years ago
8 0

Answer:

\dfrac{x}{2}=25.5

Step-by-step explanation:

Let the number be x.

Peter halves the number and gets an answer of 25.5.

It means,

Half of x equals 25.5. So,

\dfrac{1}{2}x=25.5

or

\dfrac{x}{2}=25.5

Hence, the required equation is \dfrac{x}{2}=25.5.

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What is the fourth term in the binomial expansion of (2x – y) 7?
nata0808 [166]

Answer:

(7C4) (2x)^4 (-y)^{7-4}

And replacing we got:

35 (2^4) x^4 (-y)^{-3}

And then the final term would be:

-560 x^4 y^3

Step-by-step explanation:

For this case we have the following expression:

(2x-y)^7

And we can use the binomial theorem given by:

(x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}

And for this case we want to find the fourth term and using the formula we have:

(7C4) (2x)^4 (-y)^{7-4}

And replacing we got:

35 (2^4) x^4 (-y)^{-3}

And then the final term would be:

-560 x^4 y^3

8 0
3 years ago
Simplify fowllow the order of operarions 12-7+9-2
steposvetlana [31]
12 bro it even says to follow the order of operations. If there is only addition and subtraction you just go from left to right. Same with if there is only multiplication and division.
6 0
3 years ago
Read 2 more answers
Multiply.<br> (3x + 1)(2x – 1)<br><br> Answer plz
DENIUS [597]

Answer:

= 3x + 1 + 2x - 1 \\  = 3x + 2x + 1 - 1 \\  = 5x + 0 \\  = 5x

8 0
3 years ago
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Ruby red paint costs $0.50 per square inch. A ball is painted ruby red and costs $100.00 to paint. What is the diameter of the b
8090 [49]
The diameter can be obtained by the formula A = pi*r^2

First, multiply 0.50 * 100 to obtain the area of the ball, then simplify and solve for the radius. Doubling the radius would yield the diameter. This is shown below:

Area of the ball = 0.50 * 100 = 50 in^2
<span>A = pi*r^2
</span>50 = (3.14)*r^2
r = 3.99 = approx. 4
diameter = 2r
Diameter = 8 inches.

Among the choices, the correct answer is C. 8.0 in. 

6 0
3 years ago
Read 2 more answers
Help I really need help you guys
finlep [7]
HELLO THERE!

(:

This is a problem that looks harder then it seems, First determine the cost of each item he is trying to buy. Then figure out the number of dollars he has to spend. Once you have figured that out you divide the cost into how much he has.

For example.
John has 10 dollars. He wants to buy pencils. Each pencil will cost john 2 Dollars. How many can he buy?

By dividing the cost of the pencils = 2 into the number of dollars he has 10 Divided by 2, we get 5. 

Now it's your turn. Divide the number he has to spend by the price of the items. This will get you your answer! 
Hope this helped!
3 0
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